The mean salary of federal government employees on the general schedule is $59,593. the average salary of 30 state employees who do similar work is $58,800 with \sigmaσσ= $1500. at the 0.01 level of significance, can it be concluded that state employees earn on average less than federal employees?

If we compare the p value and the significance level given we see that so we can conclude that we have enough evidence to reject the null hypothesis, so we can conclude that the average for the employes earn is less than 59593$ at 1% of significance.  

Explanation:

1) Data given and notation  

represent the sample mean  

represent the population standard deviation

sample size  

represent the value that we want to test  

represent the significance level for the hypothesis test.  

z would represent the statistic (variable of interest)  

represent the p value for the test (variable of interest)  

2) State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the mean is less than 59593, the system of hypothesis would be:  

Null hypothesis:  

Alternative hypothesis:  

Since we know the population deviation, is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:  

(1)  

z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

3) Calculate the statistic  

We can replace in formula (1) the info given like this:  

4)P-value  

Since is a left tailed test the p value would be:  

5) Conclusion  

If we compare the p value and the significance level given we see that so we can conclude that we have enough evidence to reject the null hypothesis, so we can conclude that the average for the employes earn is less than 59593$ at 1% of significance.  

explanation:

the contractual interest rate is the interest the borrower must pay and the interest the lender receives, or more simply, it is the interest rate stated on a bond whereas the market interest rate is “the investors demand for loaning funds”. therefore, bonds can either be sold at a premium, face value, or discount.

the correct answer would be b, when, queen, calder hall and london.

explanation:

we always capitalize words when a paragraph or sentence is starting, when an important name is used, when a place is being written, or simply when a noun is used, etc. so in this sentence, sentence is starting from 'when', so it will be written in capital letters. secondly, queen is considered to be an important person, so it will also be written in capital letter. next, the name of the town is mentioned, i-e calder hall, which will also be written in capital letters. in the last,   city name is being used, 'london', which will also be written in capital letters. so option b is the most appropriate one.